Divergence of shape fluctuation for general distributions in first-passage percolation

DOI10.1214/19-AIHP982zbMath1434.60310arXiv1706.03493OpenAlexW3011501604MaRDI QIDQ2179611

Shuta Nakajima

Publication date: 13 May 2020

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03493

zbMATH Keywords

random environmentfirst-passage percolationshape fluctuation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Processes in random environments (60K37)

Related Items (1)

Fluctuation lower bounds in planar random growth models

Cites Work

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• On the speed of convergence in first-passage percolation
• Some limit theorems for percolation processes with necessary and sufficient conditions
• Inequalities for the time constant in first-passage percolation
• Approximation of subadditive functions and convergence rates in limiting-shape results
• Divergence of shape fluctuations in two dimensions
• On the number of maximal paths in directed last-passage percolation
• A general method for lower bounds on fluctuations of random variables
• The divergence of fluctuations for shape in first passage percolation
• The probability density function tail of the Kardar–Parisi–Zhang equation in the strongly non-linear regime
• 50 Years of First-Passage Percolation

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